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Two identical buckets are filled to the rim with water, but one has a block of wood floating in the water. Which bucket, if either, is heavier?

Two identical buckets are filled to the rim with water, but one has a block of wood floating in the water. Which bucket, if either, is heavier?

Grade:upto college level

1 Answers

Deepak Patra
askIITians Faculty 471 Points
8 years ago
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This shows that weight of the water depends on its volume in the bucket.
The water levels of both the buckets are same as some fraction of the wood block are above the water.
The floating block displaced fraction of the volume of the water equal to its weight in accordance with the Archimedes’ principle. This maintained the weight of the water in the bucket equal to the other bucket. Thus, the weight of the bucket having full of water and the one having floating block has the same weight.
Therefore, both the buckets have same weight.

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